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5268188112 = 2431131367877
BaseRepresentation
bin1001110100000001…
…00010101111010000
3111121011000200111020
410322000202233100
541242124004422
62230431315440
7244356601005
oct47200425720
914534020436
105268188112
112263833780
12103037bb80
1365c59ba95
1437d9538ac
1520c77e95c
hex13a022bd0

5268188112 has 160 divisors (see below), whose sum is σ = 15384920064. Its totient is φ = 1538956800.

The previous prime is 5268188099. The next prime is 5268188117. The reversal of 5268188112 is 2118818625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5268188117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6006618 + ... + 6007494.

Almost surely, 25268188112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5268188112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692460032).

5268188112 is an abundant number, since it is smaller than the sum of its proper divisors (10116731952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5268188112 is a wasteful number, since it uses less digits than its factorization.

5268188112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1291 counting only the distinct ones).

The product of its digits is 61440, while the sum is 42.

The square root of 5268188112 is about 72582.2851114513. The cubic root of 5268188112 is about 1740.0180682494.

The spelling of 5268188112 in words is "five billion, two hundred sixty-eight million, one hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 367 372 496 528 682 734 744 877 1023 1101 1364 1468 1488 1754 2046 2202 2631 2728 2936 3508 4037 4092 4404 5262 5456 5872 7016 8074 8184 8808 9647 10524 11377 12111 14032 16148 16368 17616 19294 21048 22754 24222 27187 28941 32296 34131 38588 42096 45508 48444 54374 57882 64592 68262 77176 81561 91016 96888 108748 115764 125147 136524 154352 163122 182032 193776 217496 231528 250294 273048 299057 321859 326244 375441 434992 463056 500588 546096 598114 643718 652488 750882 897171 965577 1001176 1196228 1287436 1304976 1501764 1794342 1931154 2002352 2392456 2574872 3003528 3540449 3588684 3862308 4784912 5149744 6007056 7080898 7177368 7724616 9977629 10621347 14161796 14354736 15449232 19955258 21242694 28323592 29932887 39910516 42485388 56647184 59865774 79821032 84970776 109753919 119731548 159642064 169941552 219507838 239463096 329261757 439015676 478926192 658523514 878031352 1317047028 1756062704 2634094056 5268188112